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Finding the Fourth Proportional to 10,296.24, 14,203 and 6,315.92

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Solution

The fourth proportional to 10,296.24, 14,203 and 6,315.92 is: 8,712.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,296.24 : 14,203 = 6,315.92 : x
  2. Step 2: Convert to fraction form
    10,296.24/14,203 = 6,315.92/x
  3. Step 3: Cross multiply
    10,296.24x = 14,203 × 6,315.92
  4. Step 4: Simplify right side
    10,296.24x = 89,705,011.76
  5. Step 5: Solve for x
    x = 89,705,011.76/10,296.24
  6. Step 6: Final answer
    x = 8,712.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.